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1100212201020 = 2235131271516517
BaseRepresentation
bin10000000000101001110…
…000011110011000111100
310220011211200100200210210
4100000221300132120330
5121011213310413040
62201232553432420
7142326166256262
oct20005160363074
93804750320723
101100212201020
11394663117839
1215928aa0b710
137c998a44bca
143b371744432
151d94441a480
hex10029c1e63c

1100212201020 has 96 divisors (see below), whose sum is σ = 3115570461696. Its totient is φ = 290075385600.

The previous prime is 1100212201013. The next prime is 1100212201031. The reversal of 1100212201020 is 201022120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100212200987 and 1100212201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871802 + ... + 2388318.

It is an arithmetic number, because the mean of its divisors is an integer number (32453858976).

Almost surely, 21100212201020 is an apocalyptic number.

1100212201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100212201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557785230848).

1100212201020 is an abundant number, since it is smaller than the sum of its proper divisors (2015358260676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100212201020 is a wasteful number, since it uses less digits than its factorization.

1100212201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516931 (or 516929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100212201020 its reverse (201022120011), we get a palindrome (1301234321031).

The spelling of 1100212201020 in words is "one trillion, one hundred billion, two hundred twelve million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 271 393 524 542 655 786 813 1084 1310 1355 1572 1626 1965 2620 2710 3252 3930 4065 5420 7860 8130 16260 35501 71002 106503 142004 177505 213006 355010 426012 516517 532515 710020 1033034 1065030 1549551 2066068 2130060 2582585 3099102 5165170 6198204 7747755 10330340 15495510 30991020 67663727 135327454 139976107 202991181 270654908 279952214 338318635 405982362 419928321 559904428 676637270 699880535 811964724 839856642 1014955905 1353274540 1399761070 1679713284 2029911810 2099641605 2799522140 4059823620 4199283210 8398566420 18336870017 36673740034 55010610051 73347480068 91684350085 110021220102 183368700170 220042440204 275053050255 366737400340 550106100510 1100212201020